427886400 has 168 divisors, whose sum is σ = 1419839680. Its totient is φ = 112803840.

The previous prime is 427886383. The next prime is 427886419. The reversal of 427886400 is 4688724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465141 + ... + 466059.

Almost surely, 2^427886400 is an apocalyptic number.

427886400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709919840).

427886400 is an abundant number, since it is smaller than the sum of its proper divisors (991953280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427886400 is a wasteful number, since it uses less digits than its factorization.

427886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 427886400 is about 20685.4151517440. The cubic root of 427886400 is about 753.5455237148.

The spelling of 427886400 in words is "four hundred twenty-seven million, eight hundred eighty-six thousand, four hundred".